Sorting using combinational circuit, Computer Networking

Now, let us suppose a famous sequence called as bitonic sequence and sort out the elements using a combinational circuit consisting of a set of comparators. The property of bitonic sequence is as follows:

Consider a series X= x0, x1, x2, x3, x4 ................... xn-1 such that condition 1:either x0, x1, x2, x3, x4 ................... xi is a monotonically increasing sequence and xi+1, xi+2,  ................... xn-1  is a monotonically decreasing sequence or condition 2: there exists a cyclic shift of the series  x0, x1, x2, x3, x4 ................... xn-1 such that the resulting series satisfies the condition 1.

Let us take a few examples of bitonic series: B1= 4,7,8,9,11,6,3,2,1 is bitonic series

B2= 12,15,17,18,19,11,8,7,6,4,5 is bitonic series

In order to give a solution to such a bitonic sequence, various phases of comparators are needed. The basic approach followed for solving such a difficulty is as given:

 Let us say we have a bitonic series X= x0, x1, x2, x3, x4 ................... xn-1 with the property that first n/2 elements are monotonically increasing elements are monotonically increasing like x0< x1< x2< x3< x4 ... xn/2+1> ...>xn-1.  After that, these patterns are compared with the help of a comparator as follows:

Y= min(x0, xn/2), min(x1, xn/2+1), min(x2, xn/2+2), ............. Min (xn/2-1, xn-1)

Z= max(x0, xn/2), max (x1, xn/2+1), max (x2, xn/2+2), ............. max (xn/2-1, xn-1)

After the above discussed iteration, the two new bitonic series are produced and the method is called as bitonic split. After that, a recursive operation on these two bitonic sequences is processed until we are able to achieve the sorted list of elements. The exact algorithm for sorting the bitonic series is as follows:

Sort_Bitonic (X)

// Input: N Numbers following the bitonic property

// Output: Sorted List of numbers

1) The Sequence, i.e. X is transmitted on the input lines of the combinational circuit which consists of a variety of set of comparators.

2) The sequence X is divided into two sub-bitonic series say, Y and Z, with the help of a method known as bitonic split.

3) Recursively implements the bitonic split on the sub series, i.e. Y and Z, until the size

Of subsequence reaches to a level of 1.

1) The sorted series is achieved after this level on the output lines.

With the help of a diagram to demonstrate the concept of sorting using the comparators.

Example 1: Consider a unsorted list having the element values as


List is to be sorted in ascending order. To sort this list, in the first stage comparators of order 2 (i.e. having 2 input and 2 output) will be used. Similarly, 2nd stage will consist of 4, input comparators, 3rd stage 8 input comparator and 4th stage a 16 input comparator.

Let us consider an example with the help of a diagram to illustrate the concept of sorting using the comparators.

1875_Sorting using Combinational Circuit.png

                                                          Sorting using Combinational Circuit

Posted Date: 3/2/2013 6:41:39 AM | Location : United States

Related Discussions:- Sorting using combinational circuit, Assignment Help, Ask Question on Sorting using combinational circuit, Get Answer, Expert's Help, Sorting using combinational circuit Discussions

Write discussion on Sorting using combinational circuit
Your posts are moderated
Related Questions

Security risks present on the networks Lots of risks are present everywhere on Internet as well as on Intranet, if it is not known what is being done. Every day a number of

What is Groupware server? Groupware addresses the management of semi-structured information like text, image, mail, bulletin boards and the flow of work. These Client/Server sy

Q. What is Two Types of Errors? Single-Bit Errors: Merely one bit in the data unit has changed Burst Errors of length 'n': 2 or more bits in the data unit have changed (

A typical layer 2 switch has a number of features. Identify and explain 5 features that you think are important that you would consider in your evaluation of L2 switches offered b

Explain in dteail about the intranet The first Web browser was called Mosaic, and the HTML concept, although not a new one, has accelerated data access and research. In short,

State the Steps to provide more computing power In order to provide more computing power, the following steps may be taken: Add more processing power by addition of more

Explain about the Digital traffic channels The most notable difference among the two generations is that first generation systems are almost purely analog, while second generat

Can you define what is interior and exterior routing protocols?

Address is a full unique identifier. Connectionless delivery needs address on every packet. Connection-oriented delivery may use a short hand that shows the connection rather th